Lectures related to Untitled | EPFL Graph Search

Covers the physics of a toboggan jump, analyzing forces, speeds, and motion equations.

Explores equilibrium and stability of a vertical metronome system with springs.

Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Explores elementary results in convex optimization, including affine, convex, and conic hulls, proper cones, and convex functions.

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Covers geodesically convex optimization on Riemannian manifolds, exploring convexity properties and minimization relationships.

Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.

Covers the precise description of the relative positioning of objects in space.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

Covers the concept of convex functions and their applications in optimization problems.

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

Explores the dynamics of a rolling cylinder on inclined planes with and without slipping.

Explores convex sets, their properties, and applications in optimization.

Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.

Explores convex functions, affine transformations, pointwise maximum, minimization, Schur's Lemma, and relative entropy in mathematical optimization.

Covers advanced topics on the limitations of concave and convex shapes.

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.